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Finding the Third Proportional to 235,824.75 and 333,370.69

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Solution

The third proportional to 235,824.75 and 333,370.69 is: 471,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,824.75 : 333,370.69 = 333,370.69 : x
  2. Step 2: Convert to fraction form
    235,824.75/333,370.69 = 333,370.69/x
  3. Step 3: Cross multiply
    235,824.75x = 333,370.69 × 333,370.69
  4. Step 4: Simplify right side
    235,824.75x = 111,136,015,284.22
  5. Step 5: Solve for x
    x = 111,136,015,284.22/235,824.75
  6. Step 6: Final answer
    x = 471,265.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.